Highest Common Factor of 507, 9492, 7489 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 507, 9492, 7489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 507, 9492, 7489 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 507, 9492, 7489 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 507, 9492, 7489 is 1.
HCF(507, 9492, 7489) = 1
HCF of 507, 9492, 7489 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 507, 9492, 7489 is 1.
Highest Common Factor of 507,9492,7489 is 1
Step 1: Since 9492 > 507, we apply the division lemma to 9492 and 507, to get
9492 = 507 x 18 + 366
Step 2: Since the reminder 507 ≠ 0, we apply division lemma to 366 and 507, to get
507 = 366 x 1 + 141
Step 3: We consider the new divisor 366 and the new remainder 141, and apply the division lemma to get
366 = 141 x 2 + 84
We consider the new divisor 141 and the new remainder 84,and apply the division lemma to get
141 = 84 x 1 + 57
We consider the new divisor 84 and the new remainder 57,and apply the division lemma to get
84 = 57 x 1 + 27
We consider the new divisor 57 and the new remainder 27,and apply the division lemma to get
57 = 27 x 2 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 507 and 9492 is 3
Notice that 3 = HCF(27,3) = HCF(57,27) = HCF(84,57) = HCF(141,84) = HCF(366,141) = HCF(507,366) = HCF(9492,507) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7489 > 3, we apply the division lemma to 7489 and 3, to get
7489 = 3 x 2496 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 7489 is 1
Notice that 1 = HCF(3,1) = HCF(7489,3) .
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Frequently Asked Questions on HCF of 507, 9492, 7489 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 507, 9492, 7489?
Answer: HCF of 507, 9492, 7489 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 507, 9492, 7489 using Euclid's Algorithm?
Answer: For arbitrary numbers 507, 9492, 7489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.